Question

What is the equation for determining the angle measures?
(7x-9)+4x

Answer 1

To find the angle measures using the expression you've provided, \( (7x - 9) + 4x \), you'll first need to simplify the expression:

1. Combine like terms:
\[
7x + 4x - 9 = 11x - 9
\]

Now you have the simplified expression \( 11x - 9 \).

To determine specific angle measures, you would typically set this expression equal to a known angle or some condition. For example, if you need to determine the angle measures equal to a straight angle (180 degrees), the equation would look like this:

\[
11x - 9 = 180
\]

You would then solve for \( x \):

1. Add 9 to both sides:
\[
11x = 180 + 9
\]
\[
11x = 189
\]

2. Divide both sides by 11:
\[
x = \frac{189}{11}
\]
\[
x \approx 17.18
\]

Then you would substitute \( x \) back into the angle measure \( (7x - 9) \) or \( (11x - 9) \) to find the angle:

1. Calculate \( (7x - 9) \):
\[
7 \left(\frac{189}{11}\right) - 9 = \frac{1323}{11} - \frac{99}{11} = \frac{1224}{11} \approx 111.27
\]

2. Calculate \( (11x - 9) \) for another angle measure:
\[
11 \left(\frac{189}{11}\right) - 9 = 189 - 9 = 180
\]

In summary, to determine exact angle measures, you typically need an equation or context, like setting equal to 180 degrees for a straight angle or using specific relationships between angles (if applicable).